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If R={(x ,\ y): x+2y=8} is a relation on...

If `R={(x ,\ y): x+2y=8}` is a relation on `N` , then write the range of `R` .

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The correct Answer is:
range of R is `{1,2,3}`.

The given relation on N is ` R=[(x, y): x+2 y=8]`.
now , due to given restriction we just need to check till x=7 or y=3.

But its easy to insert y
as y has only 3 values to check

For `y=3 ,x=2`
For `y=2 ,x=4`
For `y=1 ,x=6`
...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Write the identity relation on set A={a ,\ b ,\ c} .

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  2. Write the smallest reflexive relation on set A={1,\ 2,\ 3,\ 4} .

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  3. If R={(x ,\ y): x+2y=8} is a relation on N , then write the range of R...

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  4. If R is a symmetric relation on a set A , then write a relation betwee...

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  5. Let R={(x ,\ y):|x^2-y^2|<1} be a relation on set A={1,\ 2,\ 3,\ 4,\ 5...

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  6. If A={2,\ 3,\ 4} , B={1,\ 3,\ 7} and R={(x ,\ y): x in A ,\ y in B\ ...

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  7. Let A={3,\ 5,\ 7} , B={2,\ 6,\ 10} and R be a relation from A to B def...

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  8. Define a reflexive relation.

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  9. Define a symmetric relation.

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  10. Define a transitive relation.

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  11. Define an equivalence relation.

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  12. If A={3,\ 5,\ 7} and B={2,\ 4,\ 9} and R is a relation given by is les...

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  13. A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7} and if R={(x ,\ y): y is one half of x ;...

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  14. Let A={2,\ 3,\ 4,\ 5} and B={1,3,\ 4} . If R is the relation from A to...

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  15. State the reason for the relation R on the set {1, 2, 3} given by R={(...

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  16. Let R={(a ,\ a^3): a is a prime number less than 5} be a relation. Fin...

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  17. Let R be the relation in the set Z of integers given by R={(a,b):2 div...

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  18. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

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  19. Let A={0,\ 1,\ 2,\ 3} and R be a relation on A defined as R={(0,\ 0),\...

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  20. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

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